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Finding the Third Proportional to 520,086 and 825,225

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Solution

The third proportional to 520,086 and 825,225 is: 1,309,391.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,086 : 825,225 = 825,225 : x
  2. Step 2: Convert to fraction form
    520,086/825,225 = 825,225/x
  3. Step 3: Cross multiply
    520,086x = 825,225 × 825,225
  4. Step 4: Simplify right side
    520,086x = 680,996,300,625
  5. Step 5: Solve for x
    x = 680,996,300,625/520,086
  6. Step 6: Final answer
    x = 1,309,391.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.